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Calculate the Volume of a Sphere

In this worksheet, students will calculate the volume of spheres, given their radii or diameters.

'Calculate the Volume of a Sphere' worksheet

Key stage:  KS 3

Year:  Year 9 Maths worksheets

Curriculum topic:   Geometry and Measures

Curriculum subtopic:   Use 3D Shape Knowledge to Solve Problems

Popular topics:   Geometry worksheets

Difficulty level:  

Worksheet Overview

The formula for the volume of a sphere, V, in terms of its radius, r, is:

 

V = 4/3πr3

 

Example

Calculate the volume of the sphere shown below in cm3 to 3 sig. figs.

 

 sphere of diameter 8 cm

 

Answer

Diameter d = 8 cm

Radius r = 8 ÷ 2 = 4 cm

 

Volume =  4/3πr3 = 4 ÷ 3 x π x 43  = 268.08.... ≈ 268 cm3 (3 s.f.)

 

Let's have a go at some questions now. 

 

If you want to remind yourself of this formula at any point during the activity, just click on the red button and you will be able to see this introduction again.

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